Question

The longest length of a sail on Jessica's sailboat is 12 sqrt 40 feet long. Which number is equivalent to this length?

Answer 1

\[24\sqrt{40}\]
\[24\sqrt{10}\]
\[48\sqrt{10}\]
\[48\sqrt{40}\]

Answer 2

Can we simplify \(\sf\sqrt{40}\) ?

Answer 3

yes

Answer 4

but i dont know if in this problem

Answer 5

Break up 40 into the squares of numbers such as 4, 9, 16

See if 40 is divisible by any of those so we can simplify it.

Answer 6

Is 40 divisible by 4? Is it divisible by 9? What is the largest square it is divisible by?

Answer 7

4 it is divisble by

Answer 8

Correct, so:

\(\sf\Large\sqrt{40}=\sqrt{4\times 10}=\sqrt4\times \sqrt{10}\)

What is squareroot of 4 equal to?

Answer 9

2

Answer 10

So then
\(\sqrt{40}=2\sqrt{10}\)

Answer 11

And then:

\(\sf 12\sqrt{40} = 12\times 2 \sqrt{10}\)

What is 12 x 2= ?

Answer 12

24

Answer 13

So your final answer is
\(\sf\Huge 24\sqrt{10}\)

Answer 14

Thanks man :)

Answer 15

Np :)